Riemann Problems for Three-dimensional Combustion Models  

作　　者：Kai HU Gao-wei CAO Xiao-zhou YANG 

机构地区：[1]School of Mathematics and Statistics,Southwest University [2]Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第2期321-346,共26页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11071246,10871199 and 11201467);Fundamental Research Funds for the Central Universities(XDJK2014C075 and SWU113062)

摘　　要：We investigate Chapman-Jouguet models in three-dimensional space by means of generalized char- acteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this paper. If contact discontinuity appears, the structure of global solutions becomes complex. We deal with this problem when strength of detonation is small.We investigate Chapman-Jouguet models in three-dimensional space by means of generalized char- acteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this paper. If contact discontinuity appears, the structure of global solutions becomes complex. We deal with this problem when strength of detonation is small.

关 键 词：combustion models generalized analysis self-similar solution 

分 类 号：O242.1[理学—计算数学]